Least Common Multiple of 900/57, 436/9162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/57, 436/9162 quickly i.e. 32700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/57, 436/9162 is 32700.

LCM(900/57, 436/9162) = 32700

LCM of 900/57, 436/9162

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 900/57,436/9162

Given numbers are 900/57,436/9162

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 900,436

Least Common Multiple of Numerators i.e. LCM of 900,436 is 98100.

GCF of Denominators means GCF of 57,9162 as per the given fractions.

GCF of 57,9162 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,436

LCM of Fractions 900/57,436/9162 is 32700

2 900, 436
2 450, 218
225, 109

∴ So the LCM of the given numbers is 2 x 2 x 225 x 109 = 98100

Least Common Multiple of 900,436 with GCF Formula

Least Common Multiple of 900,436 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 900,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,436) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(900,436) x common factors =4 x 1 = 4

LCM(900,436) = ( 900 × 436 ) / 4

LCM(900,436) = 392400 / 4

LCM(900,436) = 98100


Lets's calculate GCF of 57,9162

3 57, 9162
19, 3054

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98100/3

Therefore the LCM of Fractions 900/57,436/9162 is 32700

Greatest Common Factor of 57,9162 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,9162 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 9162

List of positive integer factors of 9162 that divides 9162 without a remainder.

1,2,3,6,9,18,509,1018,1527,3054,4581,9162

Greatest Common Factor

We found the factors 57,9162 . The biggest common factor number is the GCF number.
So the greatest common factor 57,9162 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 900/57, 436/9162

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 900/57, 436/9162?

Answer: LCM of Numerators as per given numbers 900/57, 436/9162 is

LCM of Numerators i.e. for 900,436 is 98100

GCF of denominators i.e. for 57,9162 is 3.

Thus, LCM of Fractions is 32700.Finally, LCM of Fractions for 900/57, 436/9162 is 32700.